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Test the claim that the mean GPA of night students is significantly different than the mean GPA of day students at the 0.05 significance level.

Test the claim that the mean GPA of night students is significantly different than the mean GPA of day students at the 0.05 significance level. The null and alternative hypothesis would be:

H0:pN=pDH0:pN=pD H1:pNpDH1:pN>pD H0:pN=pDH0:pN=pD H1:pNpDH1:pNpD H0:N=DH0:N=D H1:N>DH1:N>D H0:N=DH0:N=D H1:N

right-tailed two-tailed left-tailed The sample consisted of 50 night students, with a sample mean GPA of 3.24 and a standard deviation of 0.03, and 50 day students, with a sample mean GPA of 3.19 and a standard deviation of 0.02. The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we:

  • Fail to reject the null hypothesis
  • Reject the null hypothesis

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